86093299200 has 360 divisors, whose sum is σ = 294000060024. Its totient is φ = 22208102400.

The previous prime is 86093299133. The next prime is 86093299213. The reversal of 86093299200 is 299239068.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 86093299200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36901234 + ... + 36903566.

Almost surely, 2^86093299200 is an apocalyptic number.

86093299200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86093299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147000030012).

86093299200 is an abundant number, since it is smaller than the sum of its proper divisors (207906760824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86093299200 is a wasteful number, since it uses less digits than its factorization.

86093299200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 86093299200 in words is "eighty-six billion, ninety-three million, two hundred ninety-nine thousand, two hundred".